3 problems

Let $\nu>0$, and let $F=I_2(f)$ belong to the second Wiener chaos with … Let $G(\nu)\sim\operatorname{CenteredGamma}(\nu)$. Two-sided total variation conjecture. There exist consta…

Total variation rate conjecture. In this setting, the estimate

Let $W$ be a degenerate $U$-statistic of order $d$ in the setting of Theorem, and let $D_n$ denote the quantity appearing in that theorem and in Corollary. Conjecture on removing…